二维磁性异质结构中压电可调谷劈裂的伴随状态可辨识性
Adjoint-State Identifiability of Piezo-Tunable Valley Splitting in 2D Magnetic Heterostructures
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中文总结 AI 辅助
本文提出一个偏微分方程约束的伴随状态多尺度逆框架，量化二维磁性异质结构中应变可调谷劈裂的器件级可辨识性，以二硫化钼/三溴化铬为例，通过密度泛函理论估计耦合系数并界定安全操作窗口，为实验可行性提供统计诊断。
中文摘要 AI 辅助
利用机械应变控制谷自由度是固态信息处理的一种有前景的方法。当前理论文献通常在微观层面预测应变调制的谷劈裂，但很少评估这些量子预测在现实宏观器件中是否在统计上可恢复。本文建立了一个完全经典、受偏微分方程约束的多尺度逆框架，用于量化二维磁性异质结构中预测的应变可调谷效应的器件级可辨识性，并以二硫化钼和三溴化铬异质结构为例进行演示。第一性原理结构弛豫确认了手性 $C_3$ 点群对称性，这在数学上将相关的交换-应变耦合张量简化为单一标量。受偏微分方程约束的伴随状态架构成功地将连续弹性动力学与谷分辨反常霍尔输运联系起来。密度泛函理论得出耦合估计值 $\eta \approx -0.07$ meV，其95%置信区间与零一致。将这一特定耦合幅度与既定的热噪声和速度饱和极限进行评估，定义了一个安全操作窗口，其边界介于262.0和22,337.6 V/cm之间。这一有界操作窗口并非断言已确认的非零材料属性，而是作为精确的诊断阈值。部署这一严格的统计可辨识性框架，为在复杂物理制造之前确定理论预测的二维材料的真实实验可行性提供了必要的数学过滤器。
英文摘要
Controlling valley degrees of freedom with mechanical strain is a promising approach for solid-state information processing. Current theoretical literature routinely predicts strain-tuned valley splitting at the microscopic level but rarely evaluates whether these quantum predictions remain statistically recoverable in realistic macroscopic devices. This manuscript establishes a fully classical, partial differential equation-constrained multiscale inverse framework for quantifying the device-level identifiability of predicted strain-tunable valley effects in two-dimensional magnetic heterostructures, demonstrated here for a molybdenum disulfide and chromium tribromide heterostructure. First-principles structural relaxations confirm a chiral $C_3$ point-group symmetry which mathematically reduces the relevant exchange-strain coupling tensor to a single scalar. A partial differential equation-constrained adjoint-state architecture successfully bridges continuum elastodynamics to valley-resolved anomalous Hall transport. Density functional theory yields a coupling estimate of $η\approx -0.07$ meV whose 95% confidence interval is consistent with zero. Evaluating this specific coupling magnitude against established thermal noise and velocity saturation limits defines a safe operating window bounded between 262.0 and 22,337.6 V/cm. Rather than asserting a confirmed nonzero material property this bounded operational window functions as a precise diagnostic threshold. Deploying this rigorous statistical identifiability framework provides a necessary mathematical filter to determine the true experimental viability of theoretically predicted two-dimensional materials before complex physical fabrication.
发表机构
- BITS Pilani, Dubai Campus（印度理工学院比拉尼分校迪拜校区）
机构由 AI 辅助整理，请以论文原文为准。
